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Finding the Third Proportional to 30,879 and 66,654

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Solution

The third proportional to 30,879 and 66,654 is: 143,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879 : 66,654 = 66,654 : x
  2. Step 2: Convert to fraction form
    30,879/66,654 = 66,654/x
  3. Step 3: Cross multiply
    30,879x = 66,654 × 66,654
  4. Step 4: Simplify right side
    30,879x = 4,442,755,716
  5. Step 5: Solve for x
    x = 4,442,755,716/30,879
  6. Step 6: Final answer
    x = 143,876.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.